Division
- I have 27 Rupees to distribute to 3 students. How many do you give to each of them?
- Mathematically 27 ÷ 3 = 9
- As there is 0 remainder it can be written as 27 mod 3 =0
- 29 ÷ 3 = 9 with remainder 2 (29 = 3 x 9 + 2)
- It can be written as 27 mod 3 = 2
- 13 ÷ 5 = 2 with remainder 3
- 13 = 5x 2 + 3
- It can be written as 13 mod 5 = 3
- a divides b : if b mod a = 0
- a | b
- b is a multiple of a
Factor
- Factors are the integers that are multiplied together to find other integers. OR
- Factor is a number that divides into another number exactly and without leaving a remainder. OR
- a is a factor of b if b mod a = 0, a | b
- Find out all the factors of 12
- 1 × 12= 12
- 2 × 6 = 12
- 3 × 4 = 12
Therefore 1, 2, 3, 4, 6, and 12 are factors of 12.
- Factor occurs in pair;
- Factors of 12 are {(1, 12), (2, 6), (3, 4)}
Factors Properties
- Factors are positive integers
- Factors cannot be a fraction
- Factor occurs in pair